At a concert hall, each adult ticket cost $35 and each child ticket cost $11. On Thursday, the number of adult tickets sold was 132 less than the number of child tickets. On Friday, the number of adult tickets sold decreased by 35% while the number of child tickets sold increased by 25%. If a total of 1305 tickets were sold on Friday, how much money was collected on Thursday?
|
Adult tickets |
Child tickets |
Total tickets |
Before |
1 u |
1 u + 132 |
2 u + 132 |
Change |
- 0.35 u |
+ 0.25 u + 33 |
|
After |
0.65 u |
1.25 u + 165 |
1.9 u + 165 |
35% x 1 u =
35100 x 1 u = 0.35 u
25% x 1 u =
25100 x 1 u = 0.25 u
25% x 132 =
25100 x 132 = 33
Number of tickets sold on Friday
= 0.65 u + 1.25 u + 165
= 1.9 u + 165
1.9 u + 165 = 1305
1.9 u = 1305 - 165
1.9 u = 1140
1 u = 1140 ÷ 1.9 = 600
Amount collected from adult tickets on Thursday
= 1 u x 35
= 600 x 35
= $21000
Amount collected from child tickets on Thursday
= 11(1 u + 132)
= 11(600 + 132)
= 11 x 732
= $8052
Total amount collected on Thursday
= 21000 + 8052
= $29052
Answer(s):$29052